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IIT JEE Advanced 2008 Paper 2

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Question : 66

Total: 66

Match the statements/expressions in Column I with the values given in Column II:

(A) The minimum value of

(B) Let A and B be 3 × 3 matrices of real numbers, where A is symmetric, B is skew-symmetric, and (A + B)(A - B) = (A - B)(A + B). If (AB)t = (−1)k AB, where (AB)t is the transpose of the matrix AB, then the possible values of k are,

(C) Let a = log3log3 2. An integer k is satisfying 1 < 2(−k+3−a) < 2, must be less than

(D) If sinθ = cosϕ, then the possible values of

(A)→(P); (B)→(R), (S); (C)→(R), (S); (D)→(P), (R)
(A)→(R); (B)→(Q), (S); (C)→(R), (S); (D)→(P), (R)
(A)→(R); (B)→(Q), (S); (C)→(P), (S); (D)→(P), (R)
(A)→(R); (B)→(Q), (S); (C)→(R), (S); (D)→(P), (S)

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